First Explicit Reciprocity Law for Unitary Friedberg-Jacquet Periods
Delve into the first explicit reciprocity law for unitary Friedberg-Jacquet periods. Explore its application to the Bloch-Kato conjecture and challenges arising from lack of local multiplicity one.
Exceptional Splitting of Reductions of Abelian Surfaces With Real Multiplication - Yunqing Tang
Explore real multiplication in abelian surfaces, focusing on exceptional splitting of reductions. Delve into simple reduction, finite extension, and density zero concepts with insights on special devices and intersection numbers.
A Derived Hecke Algebra in the Context of the Mod P Langlands Program - Rachel Ollivier
Explore derived Hecke algebras in mod p Langlands program, covering super singular modules, involution, trace maps, and twisted duals with Rachel Ollivier.
Galois Representations and Statistics - Lecture 1
Explore Galois representations and statistics in arithmetic through an advanced mathematical lecture by René Schoof.
Jacob Lurie: A Riemann-Hilbert Correspondence in p-adic Geometry
Explore p-adic geometry through Riemann-Hilbert correspondence, covering local systems, Galois representations, Hodge theory, and cohomology in this advanced mathematics lecture.
Modularity of Some Geometric Objects - Definitions, Reasons and State of the Art
Explore zeta functions, L-functions, and Galois representations in geometric objects, focusing on plane projective curves and their conjectured relationships with analytic functions.
Panorama of Mathematics - Peter Scholze
Explore locally symmetric spaces and Galois representations with Peter Scholze, delving into hyperbolic 3-space, Bianchi manifolds, and non-abelian reciprocity laws in advanced mathematics.
The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 3
Exploring advanced techniques in arithmetic geometry for analyzing rational points on modular curves, focusing on the Chabauty-Coleman-Kim method and its practical applications.
The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 2
Explore advanced techniques in arithmetic geometry, focusing on the Chabauty-Coleman-Kim method for studying rational points on modular curves. Gain insights into theoretical foundations and practical applications.
The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 4
Explore advanced techniques in arithmetic geometry, focusing on the Chabauty-Coleman-Kim method for studying rational points on modular curves. Gain insights into theoretical foundations and practical applications.
The Finite Slope Part of Overconvergent Cohomology & Coherent Sheaves on Spaces of
Explores overconvergent cohomology, eigenvarieties, and coherent sheaves in p-adic automorphic forms. Discusses a conjecture on computing coherent sheaves using Galois representation stacks and its relation to p-adic Langlands program.
The Weight Part of Serre's Conjecture and the Emerton-Gee Stack
Explore the Breuil-Mezard conjecture's impact on local deformation rings and its connection to Serre's conjecture, focusing on recent advancements in moduli stack theory and p-adic Galois representations.
Rational Points on Modular Curves - Lecture 3
Explore advanced techniques for studying rational points on modular curves, focusing on geometry, Q-rational points, Chabauty methods, and computational aspects in arithmetic geometry.
Hypergeometric Functions, Galois Representations, and Modular Forms
Explore connections between hypergeometric functions, Galois representations, and modular forms in advanced number theory and algebraic geometry.
Modularity and Monodromy
Explore the intricate relationship between modularity and monodromy in mathematics, delving into advanced concepts and their applications in number theory and algebraic geometry.
Motives and Automorphic Representations
Explore motives and automorphic representations in advanced mathematics with James Arthur's insightful conference talk at CIRM.
Computing the Weil Representation of Superelliptic Curves
Explore the Weil representation of superelliptic curves, focusing on local Galois representations and stable reductions in algebraic geometry.
Modularity of Abelian Surfaces
Explorez la preuve de la modularité d'une proportion positive de surfaces abéliennes sur les rationnels dans cette conférence mathématique avancée.
Sato-Tate Conjecture for Bianchi Modular Forms
Explore potential automorphy results for Ramanujan and Sato-Tate conjectures in GL(2) over imaginary quadratic fields, extending previous work and introducing new mathematical concepts.
Eigenvarieties and Completed Cohomology in p-adic Automorphic Forms
Explore connections between eigenvarieties and p-adic cohomology representation theory, focusing on p-adic families of finite slope automorphic eigenforms.
The Langlands Project - Connecting Automorphic Forms and Number Theory
Explore the Langlands project's deep connection between automorphic forms and arithmetic, tracing its roots and current challenges in mathematics.